scholarly journals New dark-bright soliton in the shallow water wave model

2020 ◽  
Vol 5 (4) ◽  
pp. 4027-4044 ◽  
Author(s):  
Gulnur Yel ◽  
◽  
Haci Mehmet Baskonus ◽  
Wei Gao ◽  
◽  
...  
Keyword(s):  
Shallow Water ◽  
Water Wave ◽  
Wave Model ◽  
Bright Soliton ◽  
Shallow Water Wave

Multiple soliton, fusion, breather, lump, mixed kink-lump and periodic solutions to the extended shallow water wave model in (2+1)-dimensions

2020 ◽  
pp. 2150138
Author(s):  
Hajar F. Ismael ◽  
Aly Seadawy ◽  
Hasan Bulut
Keyword(s):  
Shallow Water ◽  
Water Wave ◽  
Soliton Solutions ◽  
Quadratic Function ◽  
Wave Model ◽  
Simple Method ◽  
Shallow Water Wave ◽  
Hirota Bilinear Form ◽  
The One ◽  
Physical Phenomena

In this paper, we consider the shallow water wave model in the (2+1)-dimensions. The Hirota simple method is applied to construct the new dynamics one-, two-, three-, [Formula: see text]-soliton solutions, complex multi-soliton, fusion, and breather solutions. By using the quadratic function, the one-lump, mixed kink-lump and periodic lump solutions to the model are obtained. The Hirota bilinear form variable of this model is derived at first via logarithmic variable transform. The physical phenomena to this model are explored. The obtained results verify the proposed model.

The global weak solution for the shallow water wave model of moderate amplitude

2016 ◽  
Vol 96 (4) ◽  
pp. 663-678
Author(s):  
Yunxi Guo ◽  
Yonghong Wu ◽  
Shaoyong Lai ◽  
Lou Caccetta
Keyword(s):  
Weak Solution ◽  
Shallow Water ◽  
Water Wave ◽  
Wave Model ◽  
Global Weak Solution ◽  
Shallow Water Wave

More on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave Equation

2019 ◽  
Vol 29 (01) ◽  
pp. 1950014
Author(s):  
Jibin Li ◽  
Guanrong Chen
Keyword(s):  
Shallow Water ◽  
Traveling Wave ◽  
Water Wave ◽  
Traveling Wave Solutions ◽  
Wave Model ◽  
Periodic Wave ◽  
Wave System ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Straight Lines

This paper studies the dynamics of traveling wave solutions to a shallow water wave model with a large-amplitude regime in phase space. The corresponding traveling wave system is a singular planar dynamical system with two singular straight lines. By using the method of dynamical systems, bifurcation diagrams are obtained. The existence of solitary wave solutions, periodic wave solutions, peakon, pseudo-peakon solution, periodic peakon solutions and compacton solutions are determined under different parameter conditions.

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